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Finding the Fourth Proportional to 3,196.80, 4,412.88 and 2,018.52

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Solution

The fourth proportional to 3,196.80, 4,412.88 and 2,018.52 is: 2,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.80 : 4,412.88 = 2,018.52 : x
  2. Step 2: Convert to fraction form
    3,196.80/4,412.88 = 2,018.52/x
  3. Step 3: Cross multiply
    3,196.80x = 4,412.88 × 2,018.52
  4. Step 4: Simplify right side
    3,196.80x = 8,907,486.54
  5. Step 5: Solve for x
    x = 8,907,486.54/3,196.80
  6. Step 6: Final answer
    x = 2,786.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.